Search a number
-
+
202022200002 = 23779101602839
BaseRepresentation
bin1011110000100101110…
…1100010001011000010
3201022110021102002101210
42330021131202023002
511302220140400002
6232450244510550
720411204236560
oct2741135421302
9638407362353
10202022200002
117874a2a0a77
12331a09ab456
131608726a11c
149ac68b8a30
1553c5c6e96c
hex2f097622c2

202022200002 has 64 divisors (see below), whose sum is σ = 472240742400. Its totient is φ = 56425636800.

The previous prime is 202022200001. The next prime is 202022200027. The reversal of 202022200002 is 200002220202.

It is not an unprimeable number, because it can be changed into a prime (202022200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33699 + ... + 636537.

It is an arithmetic number, because the mean of its divisors is an integer number (7378761600).

Almost surely, 2202022200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202022200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236120371200).

202022200002 is an abundant number, since it is smaller than the sum of its proper divisors (270218542398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202022200002 is a wasteful number, since it uses less digits than its factorization.

202022200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603031.

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 202022200002 its reverse (200002220202), we get a palindrome (402024420204).

The spelling of 202022200002 in words is "two hundred two billion, twenty-two million, two hundred thousand, two".

Divisors: 1 2 3 6 7 14 21 42 79 101 158 202 237 303 474 553 606 707 1106 1414 1659 2121 3318 4242 7979 15958 23937 47874 55853 111706 167559 335118 602839 1205678 1808517 3617034 4219873 8439746 12659619 25319238 47624281 60886739 95248562 121773478 142872843 182660217 285745686 333369967 365320434 426207173 666739934 852414346 1000109901 1278621519 2000219802 2557243038 4810052381 9620104762 14430157143 28860314286 33670366667 67340733334 101011100001 202022200002